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Finding the Fourth Proportional to 10,786.02, 14,840.19 and 8,424.06

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Solution

The fourth proportional to 10,786.02, 14,840.19 and 8,424.06 is: 11,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.02 : 14,840.19 = 8,424.06 : x
  2. Step 2: Convert to fraction form
    10,786.02/14,840.19 = 8,424.06/x
  3. Step 3: Cross multiply
    10,786.02x = 14,840.19 × 8,424.06
  4. Step 4: Simplify right side
    10,786.02x = 125,014,650.97
  5. Step 5: Solve for x
    x = 125,014,650.97/10,786.02
  6. Step 6: Final answer
    x = 11,590.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.